{
  "id": "1010.4355",
  "version": "v1",
  "published": "2010-10-21T03:06:44.000Z",
  "updated": "2010-10-21T03:06:44.000Z",
  "title": "Characterizations of Student's t-distribution via regressions of order statistics",
  "authors": [
    "George P. Yanev",
    "M. Ahsanullah"
  ],
  "comment": "To appear in \"Statistics\"",
  "doi": "10.1080/02331888.2010.535904",
  "categories": [
    "math.PR",
    "math.ST",
    "stat.TH"
  ],
  "abstract": "Utilizing regression properties of order statistics, we characterize a family of distributions introduced by Akhundov, Balakrishnan, and Nevzorov (2004), that includes the t-distribution with two degrees of freedom as one of its members. Then we extend this characterization result to t-distribution with more than two degrees of freedom.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-21T03:06:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "62G30",
      "62E10"
    ],
    "keywords": [
      "order statistics",
      "students t-distribution",
      "utilizing regression properties",
      "characterization result",
      "balakrishnan"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.4355Y"
    }
  }
}